The Open Mapping and Closed Graph Theorems in Topological Vector Spaces

THE main purpose of writing this monograph is to give a picture of the progress made in recent years in understanding three of the deepest results of Functional Analysis-namely, the open-mapping and closed­ graph theorems, and the so-called Krein-~mulian theorem. In order to facilitate the reading o...

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Bibliographic Details
Main Author: Husain, Taqdir (Editor)
Format: eBook
Language:English
Published: Wiesbaden Vieweg+Teubner Verlag 1965, 1965
Edition:1st ed. 1965
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 1. Elementary Concepts Concerning Topological and Vector Spaces
  • 2. Topological Vector Spaces
  • 3. The Open-Mapping and Closed-Graph Theorems
  • 4. B-Completeness and the Open-Mapping Theorem
  • 5. THE ew*-Topology and Various Notions of Completeness
  • 6. The Theory of S-Spaces
  • 7. Locally Convex Spaces with the B(C)-Property
  • 8. Historical Notes
  • Index of Symbols